How Does Wavelength Influence the Power of a Wave on a String?

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Homework Help Overview

The discussion revolves around the relationship between wavelength and the power of a wave on a string, specifically examining the equation for power in terms of various physical parameters.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants explore how the power equation relates to wavelength, questioning the role of frequency and tension within the equation. There are discussions about the definitions of symbols and their implications for understanding the relationship between power and wavelength.

Discussion Status

Participants are actively engaging with the problem, raising questions about the definitions and relationships between the variables in the equation. Some have provided links to external resources for further exploration, indicating a collaborative effort to clarify concepts.

Contextual Notes

There is mention of potential differences in definitions or symbols between the textbook and external resources, which may affect understanding. Participants are also considering the implications of these differences on their interpretations of the problem.

ChloeYip
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Homework Statement


http://i.imgur.com/sWZS9vQ.png
sWZS9vQ.png


Homework Equations


P=½ √μF ω2 A2

The Attempt at a Solution


How is the equation related to the wavelength?
Thanks
 
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ChloeYip said:
How is the equation related to the wavelength
Your relevant equation has frequency in it. What connects that with wavelength?
 
Where is frequency in the equation?
the F in the equation isn't meaning force (i.e. tension)?
 
well, i think w is directly proportional to frequency from this web, leading the answer b, right?

frankly, i just copy the equation from my textbook "university physics" of Young & Freedman
every symbol means the same to the website other than F is missing in the website.
does it mean anything for the difference?
thanks
 
ChloeYip said:
well, i think w is directly proportional to frequency from this web, leading the answer b, right?

frankly, i just copy the equation from my textbook "university physics" of Young & Freedman
every symbol means the same to the website other than F is missing in the website.
does it mean anything for the difference?
thanks
Since wave velocity is √(tension/linear density), the two equations are the same.
ω is the angular frequency, i.e. in radians/time, rather than in oscillations/time.
 
ChloeYip said:
w is directly proportional to frequency
what i mean is w = 2 pi f
haruspex said:
wave velocity is √(tension/linear density)
thanks for telling me this new thing :)
 

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